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Simplifying 3(4x + 7) = (7 + 3x) + 5 Reorder the terms: 3(7 + 4x) = (7 + 3x) + 5 (7 * 3 + 4x * 3) = (7 + 3x) + 5 (21 + 12x) = (7 + 3x) + 5 Remove parenthesis around (7 + 3x) 21 + 12x = 7 + 3x + 5 Reorder the terms: 21 + 12x = 7 + 5 + 3x Combine like terms: 7 + 5 = 12 21 + 12x = 12 + 3x Solving 21 + 12x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 21 + 12x + -3x = 12 + 3x + -3x Combine like terms: 12x + -3x = 9x 21 + 9x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 21 + 9x = 12 + 0 21 + 9x = 12 Add '-21' to each side of the equation. 21 + -21 + 9x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 12 + -21 9x = 12 + -21 Combine like terms: 12 + -21 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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